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Combined graduate level (QCR) Syllabus

  • Quantitative Aptitude/ Arithmetic
  • Number Systems
  1. Classification of Numbers
  2. Operations on Numbers
  • Divisibility Rules
  1. Unit digit (cyclicity of Numbers)
  2. Remainder Theorem and concept of -ve remainder
  3. Questions based on these topics and Tricks to solve these questions.
  • HCF and LCM
  1. Concept of HCF and LCM
  2. Various Methods to find HCF and LCM
  • Various types of questions … To find HCF and LCM
  1. Applications of HCF and LCM
  2. Application based questions.
  • Simple and Decimal Fractions
  1. Concept of a fraction
  2. Simple and decimal fraction
  • Various types of Simple fractions
  1. Comparison of fractions
  2. Operations on fractions
  3. Various types of questions based on fractions.
  • Square and Square Root
  1. Concept of Square and Square Root
  2. Various Methods to find square of a No.
  • Various Methods to find Square Root of a No.
  1. Properties of Square and Square Root
  2. Various types of questions based on Square and Square Root (with tricks)
  • Algebra (Elementary Algebra)
  1. Concept of Algebra
  2. Polynomial and it’s various types on the basis
  • of degree and on the basis of terms.
  1. Zero’s of polynomial
  2. Methods to find zeroes of polynomial.
  3. Polynomial equations
  • (Linear =n in one variable, Linear equation in two variables, Pair of linear equations in two variables, Quadratic equations etc.)
  • Various methods to solve polynomial equations.
  1. Formulas of Algebra
  2. Other types of questions on Algebra based on formulas.
  • Average
  1. Concept of Average / Arithmetic Mean
  2. Properties of Average
  • Questions based on basic formula (with tricks)
  1. Various types of questions based on average.
  • Ratio and Proportion
  1. Concept of Ratio and Proportion
  2. Various types of Ratios
  • Comparison of Ratios
  1. Various types of proportion to calculate.
  2. Properties of Ratios and Proportion
  3. Various types of questions based on Ratio and Proportion.
  • Percentage
  1. Concept of percentage
  2. Fraction to percentage table (Trick)
  • Percentage to fraction
  1. Various fractions to convert into percentage.
  2. Basic Questions of percentage
  3. Various types of questions based on percentage.
  • Simple and compound Interest
  1. Concept of Simple Interest
  2. Basic formulas and important points related to simple Interest.
  • Various types of questions based on simple Interest.
  1. concept of compound Interest
  2. Basic formulas and important points related to compound Interest.
  3. various types of questions based on compound Interest.
  • Profit and Loss
  • Concept of profit and Loss
  1. Various formulas related to profit and Loss.
  2. Basic Questions based on profit and Loss.
  3. Various types of questions based on profit and Loss.
  • Time and Work
  1. Concept of time and work
  2. Concept of work efficiency
  • Basic formulas of time and work
  1. Various types of questions based on time and work.
  • Speed, Time & Distance
  • Data Interpretation
  1. Representation of statistical Data (Tabular form / Graphical form)
  2. Bar graph
  • Histogram
  1. Pie Chart
  2. Questions based on these topics.
  • Permutation & Combination
  • Probability
  • Quadratic Equations
  • Geometry/ Advanced Mathematics
  • Trigonometry
  1. Introduction to Trigonometry
  2. Trigonometric Ratios
  • Pythagorean Triplets
  1. Angle and its measurement
  2. Standard Identities
  3. Tricks to solve questions within seconds
  • Angle Measurement and Conversion between Radian and Degree Measure
    1. Sexagesimal System
    2. Circular System
    3. Centesimal system
  • Trigonometric Table
  1. Tricks to solve questions with the help of trigonometric table
  2. Trigonometric Ratios of Complementary Angles
  3. Tricks to solve questions based on complementary angles within seconds
  • Heights and Distances
    1. Line of Sight
    2. Angle of Elevation
    3. Angle of Depression
  • Tricks to solve questions within seconds.
  • Questions based on Heights and Distances
  • Triangles
  1. Lines and Angles—Few concepts
  2. Angles
    1. Types of Angles:
  • Parallel Lines
  1. Questions Based on lines and Angles
  2. Tricks to solve questions based on lines and angles.
  3. Triangles—Few Concepts
  • Types of Triangles on the basis of Sides:
  • Types of Triangles on the basis of Angles:
  1. CEVIAN
  2. Properties of:
    1. Centroid
    2. Orthocenter
    3. Incentre
  3. Circumcenter
  • Congruence of Triangles
  • Various Congruence Rules:
  • Congruence Relation—Types:
  1. Similarity of Two Figures
  • Basic Proportionality Theorem/THALES THEOREM
  • Sub results of BPT and converse of BPT
  • PGT Theorem and its converse
  • Area related theorems based on similar triangles and it’s sub results.
  1. Similarity of Triangles—Different Criteria:
  • Questions based on triangles.
  • Circles
  1. All about circles
  2. Chords, tangents, scents etc.
  • Angles subtended by chords of circle.
  1. Common tangents to two or more circles
  2. Questions based on circles.
  • Mensuration-1
  1. Concepts- triangles, quadrilaterals, regular polygons, circles
  2. Questions based on these topics.
  • Tricks to solve questions.
  1. Field Book / Units of measurement of land.
  • Mensuration-2
  1. Concepts- right prism, right circular cone, right circular cylinder, sphere, hemisphere, rectangular parallelepiped, regular right pyramid with triangular or square base.
  2. Questions based on these topics.
  • Tricks to solve questions.
  • General Intelligence & reasoning
  • Number series
  • Letter series
  • Statement & Conclusion
  • Blood Relations
  • Equalities & Inequalities
  • Word Analogy
  • Number Analogy
  • Figural Analogy
  • Direction Sense Test
  • Semantic Series
  • Syllogism
  • Puzzle Test
  • Coding, Decoding
  • Alpha Numeric coding
  • Mirror Image
  • Water image
  • Punched hole pattern + folding & unfolding + Cutting
  • Venn Diagrams
  • Classification (Number, Letter, Figural)
  • Number Ranking
  • Time sequence Test
  • Seating Arrangement
  • Semantic series
  • Figural Analogy (Semantic Analogy)
  • Drawing inferences
  • Data sufficiency
  • Inserting the missing character (Problem Solving)
  • World building & Alphabet test
  • Equalities/ Inequalities
  • Sequential Output Tracing
  • ECONOMY
  • Introduction to Economics
  1. Definitions of Economics.
  2. Stages of Evolution.
  • Positive vs Normative Economics.
  1. Central Problems.
  2. Divisions in Economics.
  • Economics Systems
  1. Market Economy
  2. Non – Market Economy
  • Mixed Economic System
  1. Economic Consensus
  • Growth and its Measurement
  1. Concept of Growth
  2. National Income Accounting
  • GDP/NDP/GNP/NNP & Others
  1. Prices and Costs
  2. Revised Methodology
  3. Development:
    • Sustainable development
    • Human Development Report
    • Development measurements
  • Inflation
  1. Inflation vs Deflation vs Disinflation
  2. Causes of inflation
  • Types of Inflation
  1. Impact of Inflation
  2. Measurement of Inflation
  • RBI & Monetary Policy
  1. RBI -Structure
  2. Role of RBI
  • Stances of Monetary Policy
  1. Quantitative Tools
  2. Qualitative Tools
  3. Banking
  • Budget & Fiscal Policy
  1. Budget Basics
  2. Deficits in the Budget
  • Fiscal Policy Stances
  1. Built in fiscal policy
  2. Counter cyclical fiscal policy
  3. Pro cyclical fiscal policy
  • Planning and Resource Mobilization
  1. Pre – independence planning
  2. Post – independence planning
  • PC vs Niti Ayog
  • External Sector
  1. Balance of Payment
  2. Current Account
  • Capital Account
  1. Twin deficits
  2. Exchange rate system
  3. Indian Foreign Trade
  • Financial Market
  1. Money Market Instruments
  2. Capital Market Instruments
  • Agriculture & Industrialization in economic development
  • Poverty
  • Inclusion
  • Demographics
  • Centrally Sponsored Schemes
  1. Guidelines & Objectives
  • History
  • Ancient India
  1. Stone Age
  2. Vedic Period
  • Mauryan & Post Mauryan Period
  1. Gupta Period
  2. Post Gupta
  3. South India from Sangam Age to Cholas
  • Medieval India
  1. Tripartite Struggle
  2. Delhi Sultanate
  • Mughal Period
  1. Decline of Mughals
  • Modern India
  1. Coming of the Europeans
  2. Establishment of British rule (Bengal, Mysore, Marathas)
  • Sikh Empire in Punjab
  1. British Policies of Annexation
  2. Tribal & Peasant revolts
  3. Revolt of 1857
  • Socio-Religious Reform Movements
  • Intellectual Renaissance & Political Development in India
  1. Establishment of Congress
  2. Partition of Bengal
  3. Swadeshi & Boycott Movement & Surat Split
  • Revolutionary Movements
  • Gandhi as a mass leader
  • Post-World War I and Khilafat & Non- Cooperation Movement
  1. Post Non-Cooperation Movement
  • Simon Commission & Round Table Conferences
  • Civil Disobedience Movement
  • Poona Pact and its consequences
  • World War II & the Indian Response
  1. August Offer, Cripps Mission etc
  • Quit India Movement
  • Wavell Plan, Cabinet Mission etc
  • Interim Government & Constituent Assembly
  • Transfer of Power (Mountbatten)
  • Independence & Partition
  • Integration of Princely states
  • Legislation passed during British period.
  • Governor Generals & Viceroys
  • History of Kashmir
  1. Ancient period from Stone Age to the Establishment of Muslim rule in Kashmir.
  2. Medieval period From Sultanate period to Mughal & Afghan period
  • Modern period from Sikh rule to independence
  • Polity
  • Introduction
  1. Definition of constitution
  2. Classification of constitution
  • Kinds of majority
  1. Theory of SOP
  • Framework
  1. Features of constitution
  2. Preamble
  • Union and its territories
  1. Citizenship
  2. Rs
  3. DPSP
  • Ds
  • Forms of Government
  • Democratic Institutions
  1. Union executive
    1. President
    2. Vice President
    3. Prime Minister
    4. Council of Ministers
    5. Advocate General
  1. Legislature
    1. Parliament
    2. Centre State relations
    3. Emergency etc
  • Judiciary
    1. supreme court
    2. Judicial review
    3. Judicial activism
    4. PIL
  1. State Executive
    1. Governor
    2. M
    3. State COMs
  1. State Legislature
    1. State Assembly
    2. State councils
  1. State Judiciary
    1. High court
    2. Subordinate courts
  • Local govt
    1. Panchayati Raj institutions
    2. Municipalities
  • Constitutional bodies
    1. Election commission
    2. UPSC
    3. SPSC
    4. Finance commission
  • Geography
  • Introduction
  1. What is geography?
  2. Approaches
  • Latitude and longitude
  1. Time calculation
  2. India and its neighbors
  3. Maritime borders
  • Physical features
  1. Himalayas, Trans Himalayas and Puruvanchal
  2. Northern Plains
  • Deserts
  1. Peninsular plateau
  2. Coastal plains
  3. Islands
  • Drainage
  1. Drainage pattern
  2. Himalayan rivers
  • Peninsular rivers
  • Climate
  1. Climate and weather
  2. Monsoon
  • Western disturbances
  • Atmosphere
  1. Gases
  2. Structure
  • Earth
  1. Structure and composition
  2. Earthquakes
  • Rocks
  • Agriculture
  1. Crops
  2. Soils
  • Miscellaneous
  1. Transport and communication
  2. Flora and fauna (J&K)
  • Lakes etc
  1. Demography
  • Computer
  • Introduction to Computers
  1. What is Computer?
  2. Characteristics of Computers.
  • Block Diagram of Computer.
  1. Classification of Computers.
  2. History of Computers
  3. Generations of Computers.
  • Number System
  • Logic Gates
  • Hardware:
  1. Input Devices
  2. Output Devices
  • Memory Units
  1. CPU and Motherboard
  • Software:
  1. System Software
  2. Application software
  • Utility Software
  • Operating System
  1. Introduction
  2. Structure of Operating System
  • Types of Operating Systems
  1. CPU Scheduling
  • Virus:
  1. Virus
  2. Types of Viruses
  • Some Popular Antiviruses.
  • Flowcharts:
  1. Introduction
  2. Flowchart Symbols
  • Flowchart Examples
  • MS Office:
  1. MS Word
  2. MS Excel
  • MS PowerPoint
  1. MS Access
  • Internet and Email:
  1. Data Communication
  2. Modes of Communication
  • Network
  1. Types of Networks
  2. Network Topologies
  3. Network Protocols
  • Communication Media
  • Parts of Email.
  1. Part of URL.
  2. Web Terminologies.
  • Role of IT in Governance:
  1. E-Governance
  2. Types of E-governance
  • Digital India Initiative
  •  
  • English
  • What is Grammar?
  • Parts of speech
  • Parts of sentences
  • Pronouns
  • Determiners (Adjectives)
  • Verbs
  • Tenses
  • Articles
  • Voice
  • Narrations
  • Concord
  • Prepositions
  • Modals
  • Clauses
  • Adverb inversion
  • Gerund and infinitive
  • Homonyms
  • Synonyms and antonyms
  • Vocabulary (idioms, phrases and one word substitution)
  • Reading Comprehension
  • General Science
  • Physics
  1. Units & Measurement
  2. Light
  • Electricity
  1. Magnetism
  2. Force & Laws of Motion
  3. Work, Power & Energy
  • Sources of Energy (Conventional & non- conventional)
  • Chemistry
  1. Solids, Liquids, Gases
  2. Chemical Reactions & Equations
  • Chemistry in everyday life
  1. Acids, Bases & Salts
  2. Metals & Non-metal
  • Biology
  1. Cell & its types
  2. Nutrition
  • Reproduction
  1. Genetics
  2. Health & Diseases
    1. Vitamins,
    2. AIDS,
    3. Blood Groups,
    4.  
  • Ecology, Environment & Biodiversity
  • Module 1: Basic Concepts.
  1.  
  2.  
  •  
  1. Levels of Organization.
  2.  
  3. Ecological Niche.
  • Food Chain.
  • Food Web.
  1. Ecological Footprint.
  2. Interactions in a Food Web.
  3. Ecological Pyramids.
  •  
  •  
  • Ecological Succession.
  1.  
  •  
  • Wetland Conservation.
  •  
  • One-Liners, Tidbits, Terms.
  1. Disaster Management
  • Module 2: Environmental Degradation.
  1. Air Pollution.
  2. Water Pollution.
  • Soil Pollution.
  1. Conventions and Protocols.
  • Module 3: Biodiversity.
  1.  
  2. Types of Species.
  • Biodiversity Conservation.
  1. IUCN Status.
  • Module 4: Current Affairs.
  1. IUCN Status.
  2.  
  •  
  1.  
  2. Conventions & Protocols.
  3. Other miscellaneous topics.
  • Jammu & Kashmir
  • Topics under JK Economy.
  1. Bird’s eye view of JK as per Economic Survey, 2023
  2. Sectors of JK Economy
  1. Agriculture
    1. Horticulture
    2. Market Intervention Scheme
  • Forest Based Industries
  1. Industrial Sector.
    1. Handicrafts and Handloom
    2. Woolen Textile
  • Silk Industry
  1. JK Industrial Policy 2021-30
  2. New Central Sector Scheme for Industrial Development of JK 2021
  3. J&K SICOP
  • J&K SIDCO
  • Energy
  1. Cement Industry
  1. Service Sector
    1. Tourism
    2. JK Tourism Policy 2020
  •        iii. Indus Water Treaty and its impact on economy
  • Topics under JK Geography
  1. Mapping of JK
  2. Physiography
  • Crops
  1. Soils
  2. Other Important Land forms in JK i.e Rivers, Lakes etc
  3. Important power projects
  • Topics Under JK Polity
  1. JK Panchayat Raj Act 1989
  2. Reorganisation Act 2019
  • Delimitation Commission (Recent change wrt JK)
  1. RTI Act
  • Current Affairs
  1. Current events of national, international, and local importance.
  2. Reports, indexes, Rankings etc.
  •  
  • World famous Awards
  1. In Science
  2. In Literature
  3. In Sports
  • National Awards
  1. In Science
  2. In Literature
  3. In Sports
  1. First in world (Adventure, Sports, Discoveries)
  2. First in India (Adventure, Sports, Discoveries)
  3. Popular names of Personalities (Religion, Politics, Scientific discoveries, Geographical, Sports, History)
  • The Newspaper world – (Current Dailies & weeklies of India)
  • Books & Authors – General
  1. Languages
  2. Capitals & Currencies
  3. Places in news: World, India etc.
  • Tourist Destinations
  • Sports
  • International and Regional Organizations.
    1. UNOs
    2. SAARC
    3. ASEAN
  1. National bodies in news
  • Important Days/Weeks/Themes

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